-36=-6x(2x-14)

Solution for -36=-6x(2x-14) equation:

-36=-6x(2x-14)

We move all terms to the left:

-36-(-6x(2x-14))=0


We calculate terms in parentheses: -(-6x(2x-14)), so:

-6x(2x-14)

We multiply parentheses

-12x^2+84x

Back to the equation:

-(-12x^2+84x)


We get rid of parentheses

12x^2-84x-36=0

a = 12; b = -84; c = -36;
Δ = b2-4ac
Δ = -842-4·12·(-36)
Δ = 8784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8784}=\sqrt{144*61}=\sqrt{144}*\sqrt{61}=12\sqrt{61}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-12\sqrt{61}}{2*12}=\frac{84-12\sqrt{61}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+12\sqrt{61}}{2*12}=\frac{84+12\sqrt{61}}{24}
$